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A Dvoretsky Theorem for Polynomials

Sean Dineen
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Abstract

We lift upper and lower estimates from linear functionals to $n$-homogeneous polynomials and using this result show that $l_\infty$ is finitely represented in the space of $n$-homogeneous polynomials, $n\ge2$, for any infinite dimensional Banach space. Refinements are also given.

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Sean Dineen. 1994-02-01. A Dvoretsky Theorem for Polynomials. https://arxiv.org/abs/math/9402203

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